First we find the slope of the original equation
4x - 2y = 3
-2y = -4x + 3
y = -4/-2x - 3/2
y = 2x - 3/2......slope here is 2
for a parallel line, we use the same slope
y = mx + b
slope(m) = 2
(2,1)...x = 2 and y = 1
now we sub and find b, the y int
1 = 2(2) + b
1 = 4 + b
1 - 4 = b
-3 = b
so ur parallel equation is : y = 2x - 3
for a perpendicular slope, we need the negative reciprocal. All that means is flip the slope and change the sign. So we have a slope of 2...the negative reciprocal we need is -1/2
y = mx + b
slope(m) = -1/2
(2,1)...x = 2 and y = 1
now we sub again
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
ur perpendicular line is : y = -1/2x + 2
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x + 4 = 0
x = -4....this is a vertical line with an undefined slope....sorry but I am not sure about this one
Since this question is asking for an inequality formula, let's get started.
Seven subtracted from c=c-7 (it is NOT 7-c because then it would ask c subtracted by seven)
Less than means that the c-7 is less than -16, so it would face this way <
The final answer is c-7<-16
Answer:
Length of side XY needed
Step-by-step explanation:
Since Triangle ABC is similar to triangle XYZ . (They are not congruent)
Thus,
=
.
Here, AB and AC are given but length of XY is not given so we can't solve it to find the length of side YZ.
So, Given information is insufficient to calculate YZ
Answer:
![2048 \times( \frac{1}{4} ) {}^{x}](https://tex.z-dn.net/?f=2048%20%5Ctimes%28%20%20%5Cfrac%7B1%7D%7B4%7D%20%29%20%7B%7D%5E%7Bx%7D%20)
Step-by-step explanation:
Objective:Functions
The table of values range and domain isn't proportional so the answer is exponential.
A exponential function is represented by
![ab {}^{x}](https://tex.z-dn.net/?f=ab%20%7B%7D%5E%7Bx%7D%20)
The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
b=1/4 so plug that in our expression.
![a( \frac{1}{4} ) {}^{x}](https://tex.z-dn.net/?f=a%28%20%5Cfrac%7B1%7D%7B4%7D%20%29%20%7B%7D%5E%7Bx%7D%20)
Let plug in 1,512.
![a( \frac{1}{4} ) {}^{1} = 512](https://tex.z-dn.net/?f=a%28%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%29%20%7B%7D%5E%7B1%7D%20%20%3D%20512)
![\frac{1}{4} a = 512](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%20a%20%3D%20512)
![a = 2048](https://tex.z-dn.net/?f=a%20%3D%202048)
So our function is
![2048 \times ( \frac{1}{4} ) {}^{x}](https://tex.z-dn.net/?f=2048%20%5Ctimes%20%28%20%5Cfrac%7B1%7D%7B4%7D%20%29%20%7B%7D%5E%7Bx%7D%20)